V=13πr2h The volume of a cone is 500 cm3 and the height is approximately 13.5 cm, what is the approximate radius of the cone? (1 point) Responses 15 cm 15 cm 19 cm 19 cm 6 cm 6 cm 2 cm
To find the radius of the cone, we first need to rearrange the formula for the volume of a cone:
V = 1/3 * π * r^2 * h
Since we are given that the volume is 500 cm^3 and the height is approximately 13.5 cm, we can substitute those values into the formula:
500 = 1/3 * π * r^2 * 13.5
Now we can solve for r by isolating it in the equation:
r^2 = 500 / (1/3 * π * 13.5)
r^2 = 500 / (π * 4.5)
r^2 ≈ 35.211
Taking the square root of both sides gives us:
r ≈ √35.211
r ≈ 5.93 cm
Therefore, the approximate radius of the cone is 6 cm.